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含裂纹平面问题Erdogan基本解的显式表达

许秩 范学明

许秩, 范学明. 含裂纹平面问题Erdogan基本解的显式表达[J]. 应用数学和力学, 2017, 38(9): 1009-1020. doi: 10.21656/1000-0887.370253
引用本文: 许秩, 范学明. 含裂纹平面问题Erdogan基本解的显式表达[J]. 应用数学和力学, 2017, 38(9): 1009-1020. doi: 10.21656/1000-0887.370253
XU Zhi, FAN Xue-ming. The Explicit Expression of Erdogan’s Fundamental Solution for Plane Problems With Cracks[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1009-1020. doi: 10.21656/1000-0887.370253
Citation: XU Zhi, FAN Xue-ming. The Explicit Expression of Erdogan’s Fundamental Solution for Plane Problems With Cracks[J]. Applied Mathematics and Mechanics, 2017, 38(9): 1009-1020. doi: 10.21656/1000-0887.370253

含裂纹平面问题Erdogan基本解的显式表达

doi: 10.21656/1000-0887.370253
基金项目: 国家自然科学基金(面上项目)(51378009);高等学校博士学科点专项科研基金新教师类课题(20110172120038);中央高校基本科研业务费(2015ZM116);国家级大学生创新创业训练计划项目(201610561171)
详细信息
    作者简介:

    许秩(1992—),男,博士生(E-mail: stxuz@163.com);范学明 (1979—),男,讲师,博士(通讯作者. E-mail: fanxm@scut.edu.cn).

  • 中图分类号: O343.1

The Explicit Expression of Erdogan’s Fundamental Solution for Plane Problems With Cracks

Funds: The National Natural Science Foundation of China(General Program)(51378009)
  • 摘要: 基本解是边界元法、基本解法和无网格法等数值方法的重要理论基础.在断裂问题中,采用含裂纹的基本解可以避免将裂纹表面作为边界条件,从而大大简化问题的求解.在复变函数表示的含裂纹平面问题Erdogan基本解的基础上,对Erdogan基本解的使用条件进行了注解,修正了Erdogan基本解的一些错误,并推导出Erdogan基本解中位移函数解答的显式表达形式.编写了基于Erdogan基本解显式表达的样条虚边界元法(spline fictitious boundary element method, SFBEM)计算程序,计算了具有复合边界条件平面问题的位移、应力和应力强度因子.数值算例结果表明了该文提出的Erdogan基本解显式表达形式的正确性.
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出版历程
  • 收稿日期:  2016-08-16
  • 修回日期:  2017-05-11
  • 刊出日期:  2017-09-15

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